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### A First Course in Algebraic Topology by Czes Kosniowski PDF

MathSchoolinternational.com contain houndreds of Free Math e-Books. Which cover almost all topics of mathematics. To see an extisive list of Algebraic Geometry eBooks . We hope mathematician or person who’s interested in mathematics like these books. A first course in algebraic topology written by Czes Kosniowski This is an other great mathematics book cover the following topics.

• Sets and groups

• Metric spaces, Topological spaces, Continuous functions

• Induced topology, Quotient topology (and groups acting on spaces)

• Product spaces, Compact spaces, Hausdorff spaces, Connected spaces

• The pancake problems

• Manifolds and surfaces

• Paths and path connected spaces, The Jordan curve theorem

• Homotopy of continuous mappings

• 'Multiplication' of paths

• The fundamental group, The fundamental group of a circle

• Covering spaces, The fundamental group of a covering space, The fundamental group of an orbit space

• The Borsuk-Ulam and ham-sandwhich theorems, More on covering spaces: lifting theorems, More on covering spaces: existence theorems

• The SeifertVan Kampen theorem: I Generators; II Relations; III Calculations

• The fundamental group of a surface

• Knots: I Background and torus knots, Knots : II Tame knots, Table of Knots

• Singular homology: an introduction

• ##### other Math Books of Algebraic Topology

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